Answer : The two types of reactions always redox reaction are, Single-displacement reaction and Disproportionation reaction.
Explanation :
Redox reaction or Oxidation-reduction reaction : It is defined as the reaction in which the oxidation and reduction reaction takes place simultaneously.
Single-displacement reaction : It is a type of reaction in which the most reactive element displaces the least reactive element from its compound.
It is type of redox reaction where a species simultaneously oxidized and reduced and form different products.
For example : 
In this reaction, oxidation takes place when
lose electrons and form
and reduction takes place when
gain electrons and form
.
Disproportionation reaction : It is a type of chemical reaction in which a molecule is converted or transformed into two or more different products.
It is type of redox reaction where a species simultaneously oxidized and reduced and form different products.
For example : 
In this reaction, oxidation and reduction reaction takes palace simultaneously by the one species that is,
.
In this reaction, oxidation takes place when
lose electrons and form
and reduction takes place when
gain electrons and form
.
Hence, the two types of reactions always redox reaction are, Single-displacement reaction and Disproportionation reaction.